An efficient approach to structural static reanalysis with added support constraints

다국어 초록 (Multilingual Abstract)

Structural reanalysis is frequently used to reduce the computational cost during the process of design or optimization. The supports can be regarded as the design variables in various types of structural optimization problems. The location, number, and type of supports may be varied in order to yield a more effective design. The paper is focused on structural static reanalysis problem with added supports where some node displacements along axes of the global coordinate system are specified. A new approach is proposed and exact solutions can be provided by the approach. Thus, it belongs to the direct reanalysis methods. The information from the initial analysis has been fully exploited. Numerical examples show that the exact results can be achieved and the computational time can be significantly reduced by the proposed method.

참고문헌 (Reference)

1 C.H. Liu, "Using multiple point constraints in finite element analysis of two dimensional contact problems" 국제구조공학회 36 (36): 95-110, 2010

2 Takezawa, A., "Structural optimization using function-oriented elements to support conceptual designs" 128 (128): 689-700, 2006

3 Abu Kasim, A.M., "Static reanalysis : a review" 113 (113): 1029-1045, 1987

4 Kirsch, U., "Reanalysis of Structures" Springer 2008

5 Wang, D., "Optimization of support positions to maximize the fundamental frequency of structures" 61 (61): 1584-1602, 2004

6 Sun, W.Y., "Optimization Theory and Methods" Springer 2006

7 Olhoff, N., "On structural optimization" 50 (50): 1139-1151, 1983

8 Akesson, B., "Minimum stiffness of optimally located supports for maximum value of beam eigenfrequencies" 120 (120): 457-463, 1988

9 Golub, G.H., "Matrix Computations, 3rd Edition" The Johns Hopkins University Press 1996

10 M.R.A. Hassan, "Mass optimization of four bar linkage using genetic algorithms with dual bending and buckling constraints" 국제구조공학회 35 (35): 83-98, 2010

11 Woodbury, M., "Inverting modified matrices" Princeton University 1950

12 Zhu, J.H., "Integrated layout design of supports and structures" 199 (199): 557-569, 2010

13 Terdalkar, S.S., "Graphically driven interactive finite element stress reanalysis for machine elements in the early design stage" 42 (42): 884-899, 2006

14 Akgün, M. A., "Fast exact linear and non-linear structural reanalysis and the Sherman-Morrison-Woodbury formulas" 50 (50): 1587-1606, 2001

15 Wang, B.P., "Application of genetic algorithm for the support location optimization of beams" 58 (58): 797-800, 1996

16 Leu, L.J., "Application of a reduction method for reanalysis to nonlinear dynamic analysis of framed structures" 26 (26): 497-505, 2000

17 Sherman, J., "Adjustment of an inverse matrix corresponding to changes in the elements of a given column or a given row of the original matrix" 20 (20): 621-, 1949

18 Li, Z.G., "A preconditioned conjugate gradient approach to structural reanalysis for general layout modifications" 70 (70): 505-522, 2007

19 Tanskanen, P., "A multiobjective and fixed elements based modification of the evolutionary structural optimization method" 196 (196): 76-90, 2006